grade 10 math - Mohawk College

PRE-ADMISSION TESTING SAMPLE QUESTIONS – GRADE 10 MATH
Topic 1: Fractions
1) Reduce 9
36
2) Convert this fraction into a mixed number in lowest terms 60
25
1 1 1
3) Find the Least Common Denominator of , ,
3 15 9
4) Two pins measure 3 4
and
6 9
a) What is the length of the larger pin?
b) What is the length difference between the two pins?
5) Add the fractions and bring your answer to lowest terms
1 1 1
6) Add 2
2 4 5
1 1
7) Add 4 1
3 7
2 1
8) Multiply 4 1
9 6
1 2
9) Divide 3 1
2 3
3 1
9
10) Simplify 4 5
5
8
11) Find the value of x given
x 15
23 3
1 1 1
5 10 6

Topic 2: Decimals
1) Divide 1.3289 by 0.431 and round to three decimal places
2) Convert
3
158 5 to a decimal. Round to one decimal place.
3) Convert 11.78 to a mixed fraction
4) Evaluate 2,300 + 3.13 + 1.09. Round to one decimal place.
5) Evaluate 1.35 – 26.491 + 11.7. Round to three decimal places.
6) Evaluate 0.6 x 12.34 x 1.4. Round to two decimal places.
7) Divide 1.113 by 0.56. Round to three decimal places
8) Determine the volume of an aquarium with these definitions:
Length = 78 cm; Width = 6 cm; Height = 43 cm
9) Bob makes $888.87 per week before deductions. The following deductions are made
from his paycheque: Income Tax $124.00; Company Pension $42.86; C.P.P. $38.97; and
Dental Plan = $31.97.
What are his total Deductions? What is his take-home pay?
10) Determine how much change you would get from $100 if you purchased 31.9 litres of
gas at a cost of 96.7 cents per litre.
Topic 3: Percents
1) Express the following as percents:
Decimal
a) 0.62
b) 3.312
c) 13
Percent

2) Express the following percents as decimals:
Percent Decimal
a) 79 %
b) 317.2 %
c) %
3) Express the following fractions as percents:
a)
b)
c)
Fraction Percent
4) Express the following percents in fractional form in lowest terms:
Percent % Fraction Form
a) %
b) %
c) %

5) Determine of $ 3,633 rounded to the nearest cent.
6) 316 kg is 15% of what measurement?
7) Helmer Co. Produces 1,090 DVD's per year. If 1.4% of these are defective, how many
defective DVD's are produced per year? Round your answer to the nearest whole number.
8) Mohawk Digital Centre sells webcams for $120 each. In an attempt to increase
profit they increased the price by $5.81. Express this increase as a percent of
the original price.
9) Mohawk Digital Centre sells digital cameras for $390.45 each. In an attempt to increase
sales they reduced the price by 2%. What is the new price after the reduction?

Topic 1: Fractions
1) 1
4
2
2) 2
5
3) 45
1 1
4) ,
2 18
5) 7
15
19
6) 2
20
4
7) 3
21
25
8) 4
27
1
9) 2
10
23
10) 15
25
11) 115
Topic 2: Decimals
1) 3.083
2) 158.6
39
3) 11
50
4) 2,304.2
5) - 13.441
6) 10.37
7) 1.988
8) 20, 124 cm 3
9) $237.80 ; $651.07
10) $69.15
Answer Sheet- Grade 10

Topic 3: Percents
1)
a. 62 %
b. 331.2 %
c. 1,300 %
2)
a. 0.79
b. 3.172
c. 0.143
3)
a. 92.2%
b. 14%
c. 750%
4)
a. 43
50
b. 13
25
c. 3
40
5) $3251.54
6) 2,106.67 kg
7) 15
8) 4.84%
9) $382.64